# Exclusion Statistics in Conformal Field Theory Spectra

Source: [Exclusion Statistics in Conformal Field Theory Spectra](<https://www.sota2.com/research/paper/68fa2a9b1e209131ce83ee48>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T13:39:46.524Z

Authors: K. Schoutens

Published: 1997-06-17T07:32:52.000Z

## Abstract

We propose a new method for investigating the exclusion statistics of quasi-particles in Conformal Field Theory (CFT) spectra. The method leads to one-particle distribution functions, which generalize the Fermi-Dirac distribution. For the simplest $su(n)$ invariant CFTs we find a generalization of Gentile parafermions, and we obtain new distributions for the simplest $Z\_N$-invariant CFTs. In special examples, our approach reproduces distributions based on \`fractional exclusion statistics' in the sense of Haldane. We comment on applications to fractional quantum Hall effect edge theories.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9706166>)

[PDF](<https://arxiv.org/pdf/cond-mat/9706166.pdf>)